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Finding the Fourth Proportional to 13,374.21, 18,456.29 and 7,706.88

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Solution

The fourth proportional to 13,374.21, 18,456.29 and 7,706.88 is: 10,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.21 : 18,456.29 = 7,706.88 : x
  2. Step 2: Convert to fraction form
    13,374.21/18,456.29 = 7,706.88/x
  3. Step 3: Cross multiply
    13,374.21x = 18,456.29 × 7,706.88
  4. Step 4: Simplify right side
    13,374.21x = 142,240,402.64
  5. Step 5: Solve for x
    x = 142,240,402.64/13,374.21
  6. Step 6: Final answer
    x = 10,635.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.